Net worth is the difference between assets and liabilities.
Assets - liabilities = net worth
Assets include
townhome valued at $ 195,000
savings 5000
Car 38000
Total=195,000+5,000+38,000
=238,000
Liabilities include
Loan owed 120000
Credit card 1400
owed on Ben's car 20000
Total=120,000+1,400+20,000
=141,400
Net worth=238,000−141,400=96,600
Answer:
a) 280.4; b) E. Yes, because 300 is greater than mu plus 2 sigma .
Step-by-step explanation:
For part a, we multiply the percentage of murders committed by a firearm by the total number of murders:
0.701(400) = 280.4
This will be the average number of murders by a firearm out of a sample of 400.
Since this is a binomial distribution (two outcomes; independent trials; same probability of success for each trial; and fixed number of trials), the standard deviation is given by
√npq
Since n = 0.701, q = 1-0.701 = 0.299.
This gives us
√(400*0.701*0.299) = √83.8396 = 9.16
This means any unusual values will be less than 2 standard deviations below the mean or more than 2 standard deviations above the mean.
2 standard deviations below the mean will be 280.4-2(9.16) = 280.4-18.32 = 262.08. 300 is not below this value.
2 standard deviations above the mean will be 280.4+298.72. 300 is above this, so it is an unusual value.
Answer:
24 inches
Step-by-step explanation:
The perimeter of the shape is 36 inches since the other sides are given as 12 and 3, 6 will be left for the x
12 + 12 + 3 + 3 + x = 36 and x = 6
Susie then drew a square using part of this shape and one side of the square is x inches if one side is x then all fours sides will be x inches
so the perimeter of the square is 4 × x = 24 because we already know x = 6
The RHS of the ratio is
.
Step-by-step explanation:
Step 1; It is given that the ratio gives us a unit rate of 0.2 feet per second. This means that 0.2 feet are covered every second. Just consider the values of 0.2 and 1. To find the ratio between 0.2 and 1, we divide.
Ratio between 0.2 and 1 =
, this indicates the ratio of 0.2 : 1 is 1 : 5.
Step 2; To calculate the given ratio, we need to establish the same ratio to the given values. So
feet :
= 1 : 5.
So we have that the value of
will be 5 times the value of
.
So 5 ×
=
,
=
. Cross multiplying we get that
x =
=
= 8.
The ratio is
feet :
.